answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
joja [24]
2 years ago
13

Point B is in the interior of ∠AOC, m∠AOC = 108°, m∠AOB = 3m∠BOC. Find m∠AOB.

Mathematics
2 answers:
valentinak56 [21]2 years ago
6 0
If point is the interior of <AOC ,
 then m<AOB + m<BOC = m< AOC    (  angle addition postulate )         eq 1
          (3m<BOC )  +   m <BOC  = m <AOC   {   m<AOB =  3m<BOC)
              4m <BOC  =    108  
                   m<BOC  =    27 

      m<AOB + m <BOC =  m < AOC 
       m<AOB  =   108 - 27 
        m <AOB  =    81 





Anna007 [38]2 years ago
5 0

Answer:

The measure of point B is 36 degrees

Step-by-step explanation:

Since point B is in the interior of the angle AOC, we take the measure of AOC and divide it by 3. You should get 36.

Formula: 3x=108

                x=36

You might be interested in
Scores on Ms. Bond's test have a mean of 70 and a standard deviation of 11. David has a score of 52 on Ms. Bond's test. Scores o
otez555 [7]

Answer:

Due to the higher z-score, David has the higher standardized score

Step-by-step explanation:

Z-score:

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Which student has the higher standardized score

Whoever had the higher z-score.

David:

Scores on Ms. Bond's test have a mean of 70 and a standard deviation of 11. David has a score of 52 on Ms. Bond's test. So X = 52, \mu = 70, \sigma = 11

Z = \frac{X - \mu}{\sigma}

Z = \frac{52 - 70}{11}

Z = -1.64

Steven:

Scores on Ms. Nash's test have a mean of 64 and a standard deviation of 6. Steven has a score of 52 on Ms. So X = 52, \mu = 64, \sigma = 6

Z = \frac{X - \mu}{\sigma}

Z = \frac{52 - 64}{6}

Z = -2

Due to the higher z-score, David has the higher standardized score

3 0
2 years ago
3) George walks away from his house. He walks 25 km west and then
Romashka-Z-Leto [24]

Answer:

29.15 km

Step-by-step explanation:

Given;

George walks; 25km west and then 15 km south

Resolving the directions to x and y axis;

North and South represent positive and negative y axis.

East and West represent positive and negative x axis respectively.

25km west

Rx = -25 km

15 km south

Ry = -15 km

The resultant displacement from the house is;

R = √(Rx^2 + Ry^2)

Substituting the values;

R = √((-15)^2 + (-25)^2)

R = √(225+625)

R = √(850)

R = 29.15 km

Therefore, he is 29.15 km from house

8 0
1 year ago
Which inequality represents the sentence below? Four and nine tenths less than the product of a number and six is no more than e
RUDIKE [14]

Answer:

The answer is C

Step-by-step explanation: Hope this helps!

7 0
1 year ago
Read 2 more answers
Plane A has just 1 ton of fuel left and has requested plane B to refuel it. Plane B has 21 tons of fuel. Fuel transfer happens a
garri49 [273]

Answer:

y = x + 1 y = -x + 21

(0, 1) (0, 21)

(1, 2) (1, 20)

(2, 3) (2, 19)

(3, 4) (3, 18)

Step-by-step explanation:

6 0
1 year ago
Read 2 more answers
An afterschool program offers tutoring for different subjects during the last month, a teacher recorded the number of students w
Tasya [4]
I’m not exactly sure, but I think you have to find the percentage of the people in the math tutoring compared to the total. You can do this by finding the total number of people, which would be 200, and then dividing 40 by 200, to get 20%, so 20% of the total students participated in the math tutoring. So, using this logic, 20% of 100 is 20, so 20 students would go to math tutoring if there was a total of 100 students
6 0
1 year ago
Other questions:
  • The number sentence 4x6=6x4 is an example of what property
    15·1 answer
  • A gallon of stain is enough to cover 200 square feet of decking. Bradley has two areas of decking he would like to cover with st
    7·2 answers
  • Dana wants to make two types of dog treats. She has 10 cups of peanut butter and 12 cups of flour. Her dog bone treat recipe use
    14·2 answers
  • Kareem heats a beaker of water to a boil. Then he records that the water temperature decreases from 100°C to 19°C in 525 minutes
    10·1 answer
  • Mr. and Mrs. Rivers left their house at 10:00 a.m. driving in opposite directions. Mr. Rivers drove at an average speed of 48 mp
    12·1 answer
  • Consider two people where one person is 20​% taller than the other but proportioned in exactly the same way.​ (That is, the tall
    8·2 answers
  • SunDrop Candies Inc claims that their 3 ounce bag of candies contains over 90 pieces of candy.
    6·1 answer
  • Jalen inherited a collection of vintage comic books. An appraiser separated the comic
    15·1 answer
  • Karina read a total of 20 2/4 pages in her science and social studies books combined she read 12 3/4 pages in her science book h
    9·2 answers
  • A solar panel dealer acquires is used panel for $9,000, with terms FOB shipping point. Compute total inventory cost assigned to
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!